Pith Number

pith:X2YHOG3U

pith:2020:X2YHOG3UEFVWSMMBLIWL3IIPWZ

not attested not anchored not stored refs pending

Cotorsion pairs in Hopfological algebra

Dai Tamaki, Mariko Ohara

arxiv:2012.07159 v1 · 2020-12-13 · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X2YHOG3UEFVWSMMBLIWL3IIPWZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Hopfological algebra, revisited

Receipt and verification

First computed	2026-07-05T01:59:17.884387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beb0771b74216b6931815a2cbda10fb6481e584d0855aeaea45272c23c8d16da

Aliases

arxiv: 2012.07159 · arxiv_version: 2012.07159v1 · doi: 10.48550/arxiv.2012.07159 · pith_short_12: X2YHOG3UEFVW · pith_short_16: X2YHOG3UEFVWSMMB · pith_short_8: X2YHOG3U

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/X2YHOG3UEFVWSMMBLIWL3IIPWZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: beb0771b74216b6931815a2cbda10fb6481e584d0855aeaea45272c23c8d16da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1107abf1150c2c16952047ed93cf184f97f2fc9a7a0ded3e688c297663d2af30",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2020-12-13T21:34:04Z",
    "title_canon_sha256": "594f3689fb523c96518f278b5e8b4e224ef3def320306fbc29b06f2b59fa10a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.07159",
    "kind": "arxiv",
    "version": 1
  }
}